Hey guys, I'm currently stuck on this one task where I'm trying to calculate how many solutions the equation A * B = X has, where A is a 3x3 matrix, and B is a 1x3 vector. I'm supposed to use Solve as a command, but I can't get it to work unless I'm using LinearSolve. So far, I've got the code:
LinearSolve[( {
{1, 1, -2},
{3, 4, -3},
{1, 2, 1}} ),
{1, 1, -1}]
Where the (1,1,1) is my vector. This gave me the correct solution, but I'm supposed to use the Solve command instead, and I have no idea how to. I'd be very greatful if you could help me out with this.